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20 17 Mianyang city's third diagnostic exam, detailed explanation of mathematical problems in science 12.
Solution: according to the meaning of the question: f(m)=f(n).

Get 2 m-am? +3=2㏑n-an? +3

Get a (n? -m? )=2(㏑n-㏑m)

Find a=2(㏑n-㏑m)/n? -m?

Observe four options, optional m= 1/n=3, 4, 5; And m = 2/n = 4.5.

1 1. Substituting into the above formula shows that the maximum value of A is ㏑ 3/4, so item B is selected.